If f (x) = mx+c, f(4) = 11 and f (5)=13 find value of m and c

write a compound inequality that represents the situation. all real numbers at least –6 and at most 3 a. –6 < x ≤ 3 b. –6 &lt

kotegsom [21]

<span>All real numbers at least –6 and at most 3 is given by: $-6 \leq x \leq 3$ </span>

8 0

3 years ago

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Stock Market At the beginning of the day the stock market goes down 50 3/4 points and stays at this level for most of the day. A

yarga [219]

Answer:

69 3/4

Step-by-step explanation:

The stock market goes down to 50 3/4 at the beginning of the day

At the end of the day it goes up to 120 1/2

Therefore total change in the stock market from the beginning to the end of the day can be calculated as follows

= 120 1/2 - 50 3/4

= 241/2 - 203/4

= 279/4

= 69 3/4

Hence the total change in the stock market from the beginning to the end of the day is

69 3/4

7 0

3 years ago

A certain town never has two sunny days in a row. Each day is classified as being either sunny, cloudy (but dry), or rainy. If i

11111nata11111 [884]

Answer:

the proportion of days that are Sunny is 0.2

Step-by-step explanation:

Given the data in the question;

Using markov chain;

3 states; Sunny(1), Cloudy(2) and Rainy(3)

Now, based on given conditions, the transition matrix can be obtained in the following way;

$\left[\begin{array}{ccc}0&0.5&0.5\\0.25&0.5&0.25\\0.25&0.25&0.5\end{array}\right]$

so let the proportion of sunny, cloudy and rainy days be S, C and R respectively.

such that, from column 1

S = 0.25C + 0.25R -------------let this be equation 1

from column 2

0.5C = 0.5S + 0.25R

divided through by 0.5

C = S + 0.5R ---------------------- let this be equation 2

now putting equation 2 into equation;

S = 0.25(S + 0.5R) + 0.25R

S = 0.25S + 0.125R + 0.25R

S - 0.25S = 0.375R

0.75S = 0.375R

S = 0.375R / 0.75

S = 0.5R

Therefore,

from equation 2; C = S + 0.5R

input S = 0.5R

C = 0.5R + 0.5R

C = R

Now, we know that, the sum of the three proportion should be equal to one;

so

S + C + R = 1

since C = R and S = 0.5R

we substitute

0.5R + R + R = 1

2.5R = 1

R = 1/2.5

R = 0.4

Hence, the proportion of days that are Rainy is 0.4

C = R

C = 0.4

Hence, the proportion of days that are Cloudy is 0.4

S = 0.5R

S = 0.5(0.4)

S = 0.2

Hence, the proportion of days that are Sunny is 0.2

8 0

2 years ago

a park is 4 times as long as it is wide. if the distance around the park is 12.5 kilometers, what is the area of the park?

blsea [12.9K]

So, first, what are the two sides?

let's call then x and y

we know that 2(x+y)=12.5 (that's the distance around)

so that means that x+y=6.25 (I just divided both by 2)

now, x=4y (from "4 times as long as it is wide")

so we can substitute:

x+4x=6.25

5x=6.25

x=1.25

so one side, is 1.25 and the other will be 1.25*4=5

and for the area we multiply the two:

1.25*5=6.25 square kilometers, and this is the answer!

7 0

2 years ago

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You may remember that the perimeter of a rectangle is P=2(W+L) where W is the width and L is the length.

s344n2d4d5 [400]

Step-by-step explanation:

So, x=width and the width=13+L. The formula for perimeter is 2(L)+2(W) and the total perimeter in this question is 62 feet. That means 2(L)+2(13+L)=62 feet. Solve for L and that's going to be your length. Add the length plus 13 and you'll have the width. Double check the equation by plugging the width and length back into the equation. (Does that help?)

6 0

2 years ago

If f (x) = mx+c, f(4) = 11 and f (5)=13 find value of m and c​

If f (x) = mx+c, f(4) = 11 and f (5)=13 find value of m and c